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Idonknow
  • Member for 4 years, 7 months
  • Last seen more than 3 years ago
  • Singapore
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A mathematician is a person who can find analogies between theorems;

A better mathematician is one who can see analogies between proofs and the best mathematician can notice analogies between theories;

And one can imagine that the ultimate mathematician is one who can see analogies between analogies

--S. Banach

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41
Prove that there is a real number $a$ such that $\frac{1}{3} \leq \{ a^n \} \leq \frac{2}{3}$ for all $n=1,2,3,...$
41
What is the difference between LyX and LaTeX?
30
Given $y_n=(1+\frac{1}{n})^{n+1}$ show that $\lbrace y_n \rbrace$ is a decreasing sequence
25
Let $p_1, p_2,\dots,p_n$ be polynomials of $k$ variables $x_1,\dots,x_k$ and $p_1^2 + \dots +p_n^2=x_1^2 + \dots + x_k^2$ Prove that $n \geq k$.
24
Prove that $|a+b|^p \leq 2^p \{ |a|^p +|b|^p \}$

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